Dune Core Modules (2.3.1)

superlu.hh
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1// -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
2// vi: set et ts=4 sw=2 sts=2:
3#ifndef DUNE_SUPERLU_HH
4#define DUNE_SUPERLU_HH
5
6#if HAVE_SUPERLU
7#ifdef TRUE
8#undef TRUE
9#endif
10#ifdef FALSE
11#undef FALSE
12#endif
13#ifndef SUPERLU_NTYPE
14#define SUPERLU_NTYPE 1
15#endif
16#ifdef SUPERLU_POST_2005_VERSION
17
18#if SUPERLU_NTYPE==0
19#include "slu_sdefs.h"
20#endif
21
22#if SUPERLU_NTYPE==1
23#include "slu_ddefs.h"
24#endif
25
26#if SUPERLU_NTYPE==2
27#include "slu_cdefs.h"
28#endif
29
30#if SUPERLU_NTYPE>=3
31#include "slu_zdefs.h"
32#endif
33
34#else
35
36#if SUPERLU_NTYPE==0
37#include "ssp_defs.h"
38#endif
39
40#if SUPERLU_NTYPE==1
41#include "dsp_defs.h"
42#warning Support for SuperLU older than SuperLU 3.0 from August 2005 is deprecated.
43#endif
44
45#if SUPERLU_NTYPE==2
46#include "csp_defs.h"
47#endif
48
49#if SUPERLU_NTYPE>=3
50#include "zsp_defs.h"
51#endif
52
53#endif
54#include "solvers.hh"
55#include "supermatrix.hh"
56#include <algorithm>
57#include <functional>
58#include "bcrsmatrix.hh"
59#include "bvector.hh"
60#include "istlexception.hh"
65
66namespace Dune
67{
68
79 template<class Matrix>
80 class SuperLU
81 {};
82
83 template<class M, class T, class TM, class TD, class TA>
84 class SeqOverlappingSchwarz;
85
86 template<class T, bool tag>
87 struct SeqOverlappingSchwarzAssemblerHelper;
88
89 template<class T>
90 struct SuperLUSolveChooser
91 {};
92
93 template<class T>
94 struct SuperLUDenseMatChooser
95 {};
96
97 template<class T>
98 struct SuperLUQueryChooser
99 {};
100
101 template<class T>
102 struct QuerySpaceChooser
103 {};
104
105#if SUPERLU_NTYPE==0
106 template<>
107 struct SuperLUDenseMatChooser<float>
108 {
109 static void create(SuperMatrix *mat, int n, int m, float *dat, int n1,
110 Stype_t stype, Dtype_t dtype, Mtype_t mtype)
111 {
112 sCreate_Dense_Matrix(mat, n, m, dat, n1, stype, dtype, mtype);
113
114 }
115
116 static void destroy(SuperMatrix *m)
117 {}
118
119 };
120 template<>
121 struct SuperLUSolveChooser<float>
122 {
123 static void solve(superlu_options_t *options, SuperMatrix *mat, int *perm_c, int *perm_r, int *etree,
124 char *equed, float *R, float *C, SuperMatrix *L, SuperMatrix *U,
125 void *work, int lwork, SuperMatrix *B, SuperMatrix *X,
126 float *rpg, float *rcond, float *ferr, float *berr,
127 mem_usage_t *memusage, SuperLUStat_t *stat, int *info)
128 {
129 sgssvx(options, mat, perm_c, perm_r, etree, equed, R, C,
130 L, U, work, lwork, B, X, rpg, rcond, ferr, berr,
131 memusage, stat, info);
132 }
133 };
134
135 template<>
136 struct QuerySpaceChooser<float>
137 {
138 static void querySpace(SuperMatrix* L, SuperMatrix* U, mem_usage_t* memusage)
139 {
140 sQuerySpace(L,U,memusage);
141 }
142 };
143
144#endif
145
146#if SUPERLU_NTYPE==1
147
148 template<>
149 struct SuperLUDenseMatChooser<double>
150 {
151 static void create(SuperMatrix *mat, int n, int m, double *dat, int n1,
152 Stype_t stype, Dtype_t dtype, Mtype_t mtype)
153 {
154 dCreate_Dense_Matrix(mat, n, m, dat, n1, stype, dtype, mtype);
155
156 }
157
158 static void destroy(SuperMatrix * /* mat */)
159 {}
160 };
161 template<>
162 struct SuperLUSolveChooser<double>
163 {
164 static void solve(superlu_options_t *options, SuperMatrix *mat, int *perm_c, int *perm_r, int *etree,
165 char *equed, double *R, double *C, SuperMatrix *L, SuperMatrix *U,
166 void *work, int lwork, SuperMatrix *B, SuperMatrix *X,
167 double *rpg, double *rcond, double *ferr, double *berr,
168 mem_usage_t *memusage, SuperLUStat_t *stat, int *info)
169 {
170 dgssvx(options, mat, perm_c, perm_r, etree, equed, R, C,
171 L, U, work, lwork, B, X, rpg, rcond, ferr, berr,
172 memusage, stat, info);
173 }
174 };
175
176 template<>
177 struct QuerySpaceChooser<double>
178 {
179 static void querySpace(SuperMatrix* L, SuperMatrix* U, mem_usage_t* memusage)
180 {
181 dQuerySpace(L,U,memusage);
182 }
183 };
184#endif
185
186#if SUPERLU_NTYPE>=3
187 template<>
188 struct SuperLUDenseMatChooser<std::complex<double> >
189 {
190 static void create(SuperMatrix *mat, int n, int m, std::complex<double> *dat, int n1,
191 Stype_t stype, Dtype_t dtype, Mtype_t mtype)
192 {
193 zCreate_Dense_Matrix(mat, n, m, reinterpret_cast<doublecomplex*>(dat), n1, stype, dtype, mtype);
194
195 }
196
197 static void destroy(SuperMatrix *mat)
198 {}
199 };
200
201 template<>
202 struct SuperLUSolveChooser<std::complex<double> >
203 {
204 static void solve(superlu_options_t *options, SuperMatrix *mat, int *perm_c, int *perm_r, int *etree,
205 char *equed, double *R, double *C, SuperMatrix *L, SuperMatrix *U,
206 void *work, int lwork, SuperMatrix *B, SuperMatrix *X,
207 double *rpg, double *rcond, double *ferr, double *berr,
208 mem_usage_t *memusage, SuperLUStat_t *stat, int *info)
209 {
210 zgssvx(options, mat, perm_c, perm_r, etree, equed, R, C,
211 L, U, work, lwork, B, X, rpg, rcond, ferr, berr,
212 memusage, stat, info);
213 }
214 };
215
216 template<>
217 struct QuerySpaceChooser<std::complex<double> >
218 {
219 static void querySpace(SuperMatrix* L, SuperMatrix* U, mem_usage_t* memusage)
220 {
221 zQuerySpace(L,U,memusage);
222 }
223 };
224#endif
225
226#if SUPERLU_NTYPE==2
227 template<>
228 struct SuperLUDenseMatChooser<std::complex<float> >
229 {
230 static void create(SuperMatrix *mat, int n, int m, std::complex<float> *dat, int n1,
231 Stype_t stype, Dtype_t dtype, Mtype_t mtype)
232 {
233 cCreate_Dense_Matrix(mat, n, m, reinterpret_cast< ::complex*>(dat), n1, stype, dtype, mtype);
234
235 }
236
237 static void destroy(SuperMatrix *mat)
238 {}
239 };
240
241 template<>
242 struct SuperLUSolveChooser<std::complex<float> >
243 {
244 static void solve(superlu_options_t *options, SuperMatrix *mat, int *perm_c, int *perm_r, int *etree,
245 char *equed, float *R, float *C, SuperMatrix *L, SuperMatrix *U,
246 void *work, int lwork, SuperMatrix *B, SuperMatrix *X,
247 float *rpg, float *rcond, float *ferr, float *berr,
248 mem_usage_t *memusage, SuperLUStat_t *stat, int *info)
249 {
250 cgssvx(options, mat, perm_c, perm_r, etree, equed, R, C,
251 L, U, work, lwork, B, X, rpg, rcond, ferr, berr,
252 memusage, stat, info);
253 }
254 };
255
256 template<>
257 struct QuerySpaceChooser<std::complex<float> >
258 {
259 static void querySpace(SuperMatrix* L, SuperMatrix* U, mem_usage_t* memusage)
260 {
261 cQuerySpace(L,U,memusage);
262 }
263 };
264#endif
265
279 template<typename T, typename A, int n, int m>
280 class SuperLU<BCRSMatrix<FieldMatrix<T,n,m>,A > >
281 : public InverseOperator<
282 BlockVector<FieldVector<T,m>,
283 typename A::template rebind<FieldVector<T,m> >::other>,
284 BlockVector<FieldVector<T,n>,
285 typename A::template rebind<FieldVector<T,n> >::other> >
286 {
287 public:
294 typedef SuperMatrixInitializer<BCRSMatrix<FieldMatrix<T,n,m>,A> > MatrixInitializer;
296 typedef Dune::BlockVector<
298 typename A::template rebind<FieldVector<T,m> >::other> domain_type;
300 typedef Dune::BlockVector<
302 typename A::template rebind<FieldVector<T,n> >::other> range_type;
317 explicit SuperLU(const Matrix& mat, bool verbose=false,
318 bool reusevector=true);
325 SuperLU();
326
327 ~SuperLU();
328
332 void apply(domain_type& x, range_type& b, InverseOperatorResult& res);
333
337 void apply (domain_type& x, range_type& b, double reduction, InverseOperatorResult& res)
338 {
339 DUNE_UNUSED_PARAMETER(reduction);
340 apply(x,b,res);
341 }
342
346 void apply(T* x, T* b);
347
349 void setMatrix(const Matrix& mat);
350
351 typename SuperLUMatrix::size_type nnz() const
352 {
353 return mat.nnz();
354 }
355
356 template<class S>
357 void setSubMatrix(const Matrix& mat, const S& rowIndexSet);
358
359 void setVerbosity(bool v);
360
365 void free();
366
367 const char* name() { return "SuperLU"; }
368 private:
369 friend class std::mem_fun_ref_t<void,SuperLU>;
370 template<class M,class X, class TM, class TD, class T1>
371 friend class SeqOverlappingSchwarz;
372 friend struct SeqOverlappingSchwarzAssemblerHelper<SuperLU<Matrix>,true>;
373
375 void decompose();
376
377 SuperLUMatrix mat;
378 SuperMatrix L, U, B, X;
379 int *perm_c, *perm_r, *etree;
380 typename GetSuperLUType<T>::float_type *R, *C;
381 T *bstore;
382 superlu_options_t options;
383 char equed;
384 void *work;
385 int lwork;
386 bool first, verbose, reusevector;
387 };
388
389 template<typename T, typename A, int n, int m>
390 SuperLU<BCRSMatrix<FieldMatrix<T,n,m>,A> >
391 ::~SuperLU()
392 {
393 if(mat.N()+mat.M()>0)
394 free();
395 }
396
397 template<typename T, typename A, int n, int m>
398 void SuperLU<BCRSMatrix<FieldMatrix<T,n,m>,A> >::free()
399 {
400 delete[] perm_c;
401 delete[] perm_r;
402 delete[] etree;
403 delete[] R;
404 delete[] C;
405 if(lwork>=0) {
406 Destroy_SuperNode_Matrix(&L);
407 Destroy_CompCol_Matrix(&U);
408 }
409 lwork=0;
410 if(!first && reusevector) {
411 SUPERLU_FREE(B.Store);
412 SUPERLU_FREE(X.Store);
413 }
414 mat.free();
415 }
416
417 template<typename T, typename A, int n, int m>
418 SuperLU<BCRSMatrix<FieldMatrix<T,n,m>,A> >
419 ::SuperLU(const Matrix& mat_, bool verbose_, bool reusevector_)
420 : work(0), lwork(0), first(true), verbose(verbose_),
421 reusevector(reusevector_)
422 {
423 setMatrix(mat_);
424
425 }
426 template<typename T, typename A, int n, int m>
427 SuperLU<BCRSMatrix<FieldMatrix<T,n,m>,A> >::SuperLU()
428 : work(0), lwork(0),verbose(false),
429 reusevector(false)
430 {}
431 template<typename T, typename A, int n, int m>
432 void SuperLU<BCRSMatrix<FieldMatrix<T,n,m>,A> >::setVerbosity(bool v)
433 {
434 verbose=v;
435 }
436
437 template<typename T, typename A, int n, int m>
438 void SuperLU<BCRSMatrix<FieldMatrix<T,n,m>,A> >::setMatrix(const Matrix& mat_)
439 {
440 if(mat.N()+mat.M()>0) {
441 free();
442 }
443 lwork=0;
444 work=0;
445 //a=&mat_;
446 mat=mat_;
447 decompose();
448 }
449
450 template<typename T, typename A, int n, int m>
451 template<class S>
452 void SuperLU<BCRSMatrix<FieldMatrix<T,n,m>,A> >::setSubMatrix(const Matrix& mat_,
453 const S& mrs)
454 {
455 if(mat.N()+mat.M()>0) {
456 free();
457 }
458 lwork=0;
459 work=0;
460 //a=&mat_;
461 mat.setMatrix(mat_,mrs);
462 decompose();
463 }
464
465 template<typename T, typename A, int n, int m>
466 void SuperLU<BCRSMatrix<FieldMatrix<T,n,m>,A> >::decompose()
467 {
468
469 first = true;
470 perm_c = new int[mat.M()];
471 perm_r = new int[mat.N()];
472 etree = new int[mat.M()];
473 R = new typename GetSuperLUType<T>::float_type[mat.N()];
474 C = new typename GetSuperLUType<T>::float_type[mat.M()];
475
476 set_default_options(&options);
477 // Do the factorization
478 B.ncol=0;
479 B.Stype=SLU_DN;
480 B.Dtype=GetSuperLUType<T>::type;
481 B.Mtype= SLU_GE;
482 DNformat fakeFormat;
483 fakeFormat.lda=mat.N();
484 B.Store=&fakeFormat;
485 X.Stype=SLU_DN;
486 X.Dtype=GetSuperLUType<T>::type;
487 X.Mtype= SLU_GE;
488 X.ncol=0;
489 X.Store=&fakeFormat;
490
491 typename GetSuperLUType<T>::float_type rpg, rcond, ferr=1e10, berr=1e10;
492 int info;
493 mem_usage_t memusage;
494 SuperLUStat_t stat;
495
496 StatInit(&stat);
497 SuperLUSolveChooser<T>::solve(&options, &static_cast<SuperMatrix&>(mat), perm_c, perm_r, etree, &equed, R, C,
498 &L, &U, work, lwork, &B, &X, &rpg, &rcond, &ferr,
499 &berr, &memusage, &stat, &info);
500
501 if(verbose) {
502 dinfo<<"LU factorization: dgssvx() returns info "<< info<<std::endl;
503
504 if ( info == 0 || info == n+1 ) {
505
506 if ( options.PivotGrowth )
507 dinfo<<"Recip. pivot growth = "<<rpg<<std::endl;
508 if ( options.ConditionNumber )
509 dinfo<<"Recip. condition number = %e\n"<< rcond<<std::endl;
510 SCformat* Lstore = (SCformat *) L.Store;
511 NCformat* Ustore = (NCformat *) U.Store;
512 dinfo<<"No of nonzeros in factor L = "<< Lstore->nnz<<std::endl;
513 dinfo<<"No of nonzeros in factor U = "<< Ustore->nnz<<std::endl;
514 dinfo<<"No of nonzeros in L+U = "<< Lstore->nnz + Ustore->nnz - n<<std::endl;
515 QuerySpaceChooser<T>::querySpace(&L, &U, &memusage);
516 dinfo<<"L\\U MB "<<memusage.for_lu/1e6<<" \ttotal MB needed "<<memusage.total_needed/1e6
517 <<" \texpansions ";
518
519#ifdef HAVE_MEM_USAGE_T_EXPANSIONS
520 std::cout<<memusage.expansions<<std::endl;
521#else
522 std::cout<<stat.expansions<<std::endl;
523#endif
524 } else if ( info > 0 && lwork == -1 ) {
525 dinfo<<"** Estimated memory: "<< info - n<<std::endl;
526 }
527 if ( options.PrintStat ) StatPrint(&stat);
528 }
529 StatFree(&stat);
530 /*
531 NCformat* Ustore = (NCformat *) U.Store;
532 int k=0;
533 dPrint_CompCol_Matrix("U", &U);
534 for(int i=0; i < U.ncol; ++i, ++k){
535 std::cout<<i<<": ";
536 for(int c=Ustore->colptr[i]; c < Ustore->colptr[i+1]; ++c)
537 //if(Ustore->rowind[c]==i)
538 std::cout<<Ustore->rowind[c]<<"->"<<((double*)Ustore->nzval)[c]<<" ";
539 if(k==0){
540 //
541 k=-1;
542 }std::cout<<std::endl;
543 }
544 dPrint_SuperNode_Matrix("L", &L);
545 for(int i=0; i < U.ncol; ++i, ++k){
546 std::cout<<i<<": ";
547 for(int c=Ustore->colptr[i]; c < Ustore->colptr[i+1]; ++c)
548 //if(Ustore->rowind[c]==i)
549 std::cout<<Ustore->rowind[c]<<"->"<<((double*)Ustore->nzval)[c]<<" ";
550 if(k==0){
551 //
552 k=-1;
553 }std::cout<<std::endl;
554 } */
555 options.Fact = FACTORED;
556 }
557
558 template<typename T, typename A, int n, int m>
559 void SuperLU<BCRSMatrix<FieldMatrix<T,n,m>,A> >
561 {
562 if(mat.M()+mat.N()==0)
563 DUNE_THROW(ISTLError, "Matrix of SuperLU is null!");
564
565 SuperMatrix* mB = &B;
566 SuperMatrix* mX = &X;
567 SuperMatrix rB, rX;
568 if (reusevector) {
569 if(first) {
570 SuperLUDenseMatChooser<T>::create(&B, (int)mat.N(), 1, reinterpret_cast<T*>(&b[0]), (int)mat.N(), SLU_DN, GetSuperLUType<T>::type, SLU_GE);
571 SuperLUDenseMatChooser<T>::create(&X, (int)mat.N(), 1, reinterpret_cast<T*>(&x[0]), (int)mat.N(), SLU_DN, GetSuperLUType<T>::type, SLU_GE);
572 first=false;
573 }else{
574 ((DNformat*) B.Store)->nzval=&b[0];
575 ((DNformat*)X.Store)->nzval=&x[0];
576 }
577 } else {
578 SuperLUDenseMatChooser<T>::create(&rB, (int)mat.N(), 1, reinterpret_cast<T*>(&b[0]), (int)mat.N(), SLU_DN, GetSuperLUType<T>::type, SLU_GE);
579 SuperLUDenseMatChooser<T>::create(&rX, (int)mat.N(), 1, reinterpret_cast<T*>(&x[0]), (int)mat.N(), SLU_DN, GetSuperLUType<T>::type, SLU_GE);
580 mB = &rB;
581 mX = &rX;
582 }
583 typename GetSuperLUType<T>::float_type rpg, rcond, ferr=1e10, berr;
584 int info;
585 mem_usage_t memusage;
586 SuperLUStat_t stat;
587 /* Initialize the statistics variables. */
588 StatInit(&stat);
589 /*
590 range_type d=b;
591 a->usmv(-1, x, d);
592
593 double def0=d.two_norm();
594 */
595#ifdef SUPERLU_MIN_VERSION_4_3
596 options.IterRefine=SLU_DOUBLE;
597#else
598 options.IterRefine=DOUBLE;
599#endif
600
601 SuperLUSolveChooser<T>::solve(&options, &static_cast<SuperMatrix&>(mat), perm_c, perm_r, etree, &equed, R, C,
602 &L, &U, work, lwork, mB, mX, &rpg, &rcond, &ferr, &berr,
603 &memusage, &stat, &info);
604
605 res.iterations=1;
606
607 /*
608 if(options.Equil==YES)
609 // undo scaling of right hand side
610 std::transform(reinterpret_cast<T*>(&b[0]),reinterpret_cast<T*>(&b[0])+mat.M(),
611 C, reinterpret_cast<T*>(&d[0]), std::divides<T>());
612 else
613 d=b;
614 a->usmv(-1, x, d);
615 res.reduction=d.two_norm()/def0;
616 res.conv_rate = res.reduction;
617 res.converged=(res.reduction<1e-10||d.two_norm()<1e-18);
618 */
619 res.converged=true;
620
621 if(verbose) {
622
623 dinfo<<"Triangular solve: dgssvx() returns info "<< info<<std::endl;
624
625 if ( info == 0 || info == n+1 ) {
626
627 if ( options.IterRefine ) {
628 std::cout<<"Iterative Refinement: steps="
629 <<stat.RefineSteps<<" FERR="<<ferr<<" BERR="<<berr<<std::endl;
630 }else
631 std::cout<<" FERR="<<ferr<<" BERR="<<berr<<std::endl;
632 } else if ( info > 0 && lwork == -1 ) {
633 std::cout<<"** Estimated memory: "<< info - n<<" bytes"<<std::endl;
634 }
635
636 if ( options.PrintStat ) StatPrint(&stat);
637 }
638 StatFree(&stat);
639 if (!reusevector) {
640 SUPERLU_FREE(rB.Store);
641 SUPERLU_FREE(rX.Store);
642 }
643 }
644
645 template<typename T, typename A, int n, int m>
646 void SuperLU<BCRSMatrix<FieldMatrix<T,n,m>,A> >
647 ::apply(T* x, T* b)
648 {
649 if(mat.N()+mat.M()==0)
650 DUNE_THROW(ISTLError, "Matrix of SuperLU is null!");
651
652 SuperMatrix* mB = &B;
653 SuperMatrix* mX = &X;
654 SuperMatrix rB, rX;
655 if (reusevector) {
656 if(first) {
657 SuperLUDenseMatChooser<T>::create(&B, mat.N(), 1, b, mat.N(), SLU_DN, GetSuperLUType<T>::type, SLU_GE);
658 SuperLUDenseMatChooser<T>::create(&X, mat.N(), 1, x, mat.N(), SLU_DN, GetSuperLUType<T>::type, SLU_GE);
659 first=false;
660 }else{
661 ((DNformat*) B.Store)->nzval=b;
662 ((DNformat*)X.Store)->nzval=x;
663 }
664 } else {
665 SuperLUDenseMatChooser<T>::create(&rB, mat.N(), 1, b, mat.N(), SLU_DN, GetSuperLUType<T>::type, SLU_GE);
666 SuperLUDenseMatChooser<T>::create(&rX, mat.N(), 1, x, mat.N(), SLU_DN, GetSuperLUType<T>::type, SLU_GE);
667 mB = &rB;
668 mX = &rX;
669 }
670
671 typename GetSuperLUType<T>::float_type rpg, rcond, ferr=1e10, berr;
672 int info;
673 mem_usage_t memusage;
674 SuperLUStat_t stat;
675 /* Initialize the statistics variables. */
676 StatInit(&stat);
677
678#ifdef SUPERLU_MIN_VERSION_4_3
679 options.IterRefine=SLU_DOUBLE;
680#else
681 options.IterRefine=DOUBLE;
682#endif
683
684 SuperLUSolveChooser<T>::solve(&options, &static_cast<SuperMatrix&>(mat), perm_c, perm_r, etree, &equed, R, C,
685 &L, &U, work, lwork, mB, mX, &rpg, &rcond, &ferr, &berr,
686 &memusage, &stat, &info);
687
688 if(verbose) {
689 dinfo<<"Triangular solve: dgssvx() returns info "<< info<<std::endl;
690
691 if ( info == 0 || info == n+1 ) {
692
693 if ( options.IterRefine ) {
694 dinfo<<"Iterative Refinement: steps="
695 <<stat.RefineSteps<<" FERR="<<ferr<<" BERR="<<berr<<std::endl;
696 }else
697 dinfo<<" FERR="<<ferr<<" BERR="<<berr<<std::endl;
698 } else if ( info > 0 && lwork == -1 ) {
699 dinfo<<"** Estimated memory: "<< info - n<<" bytes"<<std::endl;
700 }
701 if ( options.PrintStat ) StatPrint(&stat);
702 }
703
704 StatFree(&stat);
705 if (!reusevector) {
706 SUPERLU_FREE(rB.Store);
707 SUPERLU_FREE(rX.Store);
708 }
709 }
712 template<typename T, typename A, int n, int m>
713 struct IsDirectSolver<SuperLU<BCRSMatrix<FieldMatrix<T,n,m>,A> > >
714 {
715 enum { value=true};
716 };
717
718 template<typename T, typename A, int n, int m>
719 struct StoresColumnCompressed<SuperLU<BCRSMatrix<FieldMatrix<T,n,m>,A> > >
720 {
721 enum { value = true };
722 };
723}
724
725#endif // HAVE_SUPERLU
726#endif // DUNE_SUPERLU_HH
Implementation of the BCRSMatrix class.
This file implements a vector space as a tensor product of a given vector space. The number of compon...
A sparse block matrix with compressed row storage.
Definition: bcrsmatrix.hh:414
A vector of blocks with memory management.
Definition: bvector.hh:254
A dense n x m matrix.
Definition: fmatrix.hh:67
vector space out of a tensor product of fields.
Definition: fvector.hh:92
derive error class from the base class in common
Definition: istlexception.hh:16
Abstract base class for all solvers.
Definition: solver.hh:79
A generic dynamic dense matrix.
Definition: matrix.hh:25
size_type M() const
Return the number of columns.
Definition: matrix.hh:165
size_type N() const
Return the number of rows.
Definition: matrix.hh:160
Dune::BlockVector< FieldVector< T, n >, typename A::template rebind< FieldVector< T, n > >::other > range_type
The type of the range of the solver.
Definition: superlu.hh:302
Dune::SuperLUMatrix< Matrix > SuperLUMatrix
The corresponding SuperLU Matrix type.
Definition: superlu.hh:292
Dune::BlockVector< FieldVector< T, m >, typename A::template rebind< FieldVector< T, m > >::other > domain_type
The type of the domain of the solver.
Definition: superlu.hh:298
void apply(domain_type &x, range_type &b, double reduction, InverseOperatorResult &res)
apply inverse operator, with given convergence criteria.
Definition: superlu.hh:337
SuperMatrixInitializer< BCRSMatrix< FieldMatrix< T, n, m >, A > > MatrixInitializer
Type of an associated initializer class.
Definition: superlu.hh:294
Implements a matrix constructed from a given type representing a field and compile-time given number ...
Implements a vector constructed from a given type representing a field and a compile-time given size.
#define DUNE_THROW(E, m)
Definition: exceptions.hh:244
DInfoType dinfo(std::cout)
Stream for informative output.
Definition: stdstreams.hh:139
Dune namespace.
Definition: alignment.hh:14
STL namespace.
Implementations of the inverse operator interface.
Templates characterizing the type of a solver.
Standard Dune debug streams.
Statistics about the application of an inverse operator.
Definition: solver.hh:32
int iterations
Number of iterations.
Definition: solver.hh:50
bool converged
True if convergence criterion has been met.
Definition: solver.hh:56
#define DUNE_UNUSED_PARAMETER(parm)
A macro to mark intentional unused function parameters with.
Definition: unused.hh:18
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